Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775z |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5351040 |
Modular degree for the optimal curve |
Δ |
-8.0522065760299E+20 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23186075,-43003681000] |
[a1,a2,a3,a4,a6] |
Generators |
[22175233857858311162017337766736630832802328299237577159217710369871244508893080349734568771110572910116360:5772334350567182786981647616999951461949934055110592892099071936416560869084564069491181310888048102541848320:324357807031820198076927493943802822441765389307125460823384002609486574826761321082967435281638974481] |
Generators of the group modulo torsion |
j |
-705789854780851140677/412272976692731 |
j-invariant |
L |
11.323062510506 |
L(r)(E,1)/r! |
Ω |
0.034399135800162 |
Real period |
R |
164.58353163705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775s1 |
Quadratic twists by: 5 |